Find the augmented matrix for the following system of linear equations:5x+7y-36z=38-8x-11y+57z=-60

Find the linear approximation of the function $f(x)=\sqrt{4-x}$ at $a=0$
Use L(x) to approximate the numbers $\sqrt{3.9}$ and $\sqrt{3.99}$ Round to four decimal places

Identify the sequences as arithmetic or geometric.
a. 2, 6, 18, 54, 162
b. 1, 8 ,15, 22, 29
c. 11, 15, 19, 23, 27

Is the following equation a function ${\displaystyle f\left(x\right)=5x+7?}$ Why?

Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.
$\sqrt[6]{y^5}\sqrt[3]{y^2}$

Find the inverse of the given one-to-one function f. ${\displaystyle f\left(x\right)=\frac{x-4}{2x+1}}$

Which of the following are quadratics? For those that are, identify the values of a, b, and c
1) ${\displaystyle 2x^2+7x=15}$
2) ${\displaystyle x(x^2+3x-10)=0}$
3) ${\displaystyle {(x+1)}^2=2(x-3)}$
4) ${\displaystyle {(x-1)}^2+3=2x+1}$

Solve the equation ${\displaystyle 3^{x+2}=27}$